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Finding the Fourth Proportional to 407,683.59, 562,584.45 and 226,407.07

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Solution

The fourth proportional to 407,683.59, 562,584.45 and 226,407.07 is: 312,431.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,683.59 : 562,584.45 = 226,407.07 : x
  2. Step 2: Convert to fraction form
    407,683.59/562,584.45 = 226,407.07/x
  3. Step 3: Cross multiply
    407,683.59x = 562,584.45 × 226,407.07
  4. Step 4: Simplify right side
    407,683.59x = 127,373,096,952.06
  5. Step 5: Solve for x
    x = 127,373,096,952.06/407,683.59
  6. Step 6: Final answer
    x = 312,431.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.